| Online-Ressource |
Verfasst von: | Kaltenbach, Alex [VerfasserIn] |
Titel: | Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents |
Verf.angabe: | by Alex Kaltenbach |
Ausgabe: | 1st ed. 2023. |
Verlagsort: | Cham |
| Cham |
Verlag: | Springer International Publishing |
| Imprint: Springer |
E-Jahr: | 2023 |
Jahr: | 2023. |
| 2023. |
Umfang: | 1 Online-Ressource(XIII, 358 p. 11 illus. in color.) |
Gesamttitel/Reihe: | Lecture Notes in Mathematics ; 2329 |
ISBN: | 978-3-031-29670-3 |
Abstract: | This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions. Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject. |
DOI: | doi:10.1007/978-3-031-29670-3 |
URL: | Resolving-System: https://doi.org/10.1007/978-3-031-29670-3 |
| DOI: https://doi.org/10.1007/978-3-031-29670-3 |
Schlagwörter: | (s)Partielle Differentialgleichung / (s)Navier-Stokes-Gleichung |
Datenträger: | Online-Ressource |
Dokumenttyp: | Hochschulschrift |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Kaltenbach, Alex: Pseudo-monotone operator theory for unsteady problems with variable exponents. - Cham, Switzerland : Springer, 2023. - xiii, 355 Seiten |
K10plus-PPN: | 1856198510 |
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Lokale URL UB: | Zum Volltext |
978-3-031-29670-3
Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents / Kaltenbach, Alex [VerfasserIn]; 2023. (Online-Ressource)
69112740